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Finding the Third Proportional to 6,476 and 15,602

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Solution

The third proportional to 6,476 and 15,602 is: 37,588.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,476 : 15,602 = 15,602 : x
  2. Step 2: Convert to fraction form
    6,476/15,602 = 15,602/x
  3. Step 3: Cross multiply
    6,476x = 15,602 × 15,602
  4. Step 4: Simplify right side
    6,476x = 243,422,404
  5. Step 5: Solve for x
    x = 243,422,404/6,476
  6. Step 6: Final answer
    x = 37,588.39

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.